Electrospinning-based wound dressings with multifunctional properties, including hemostasis-promoting, antibacterial, drug release, and therapeutic effects, are of great interest in military and civilian trauma healthcare. Herein, we designed lidocaine hydrochloride (LID) and mupirocin-loaded chitosan/ polycaprolactone (CSLD-PCLM) scaffolds with multiple functions as wound dressings. Through the dual spinneret electrospinning technique, the scaffolds achieved a nanofiber structure, which enhanced the interfacial interaction between the scaffold and blood cells and showed excellent blood coagulation capacity. In particular, the scaffolds loaded with LID and mupirocin exhibited rapid release of LID and sustained release of mupirocin. The CSLD-PCLM scaffold containing mupirocin exhibited outstanding antibacterial activity. Moreover, the scaffold significantly enhanced the wound healing process with complete re-epithelialization as well as collagen deposition in a full-thickness skin defect model. Thus, CSLD-PCLM nanofibrous scaffolds may ideally meet the various requirements of the wound healing process and are promising candidates for wound dressings in future clinical applications.